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Finding the Fourth Proportional to 2,905.40, 4,012.38 and 1,911.40

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Solution

The fourth proportional to 2,905.40, 4,012.38 and 1,911.40 is: 2,639.66

Step by Step Solution

  1. Step 1: Write the proportion equation
    2,905.40 : 4,012.38 = 1,911.40 : x
  2. Step 2: Convert to fraction form
    2,905.40/4,012.38 = 1,911.40/x
  3. Step 3: Cross multiply
    2,905.40x = 4,012.38 × 1,911.40
  4. Step 4: Simplify right side
    2,905.40x = 7,669,263.13
  5. Step 5: Solve for x
    x = 7,669,263.13/2,905.40
  6. Step 6: Final answer
    x = 2,639.66

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.